Vanishings for the cohomology of certain families of stable rank two vector bundles on \(\mathbb{P}^ 3\)

DOI10.1007/BF01758986zbMath0889.14007OpenAlexW2084151511MaRDI QIDQ678156

Davide Franco

Publication date: 1 June 1997

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01758986

zbMATH Keywords

Chern classvanishing theoremsfirst cohomology groupsfamilies of stable vector bundles

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Characteristic classes and numbers in differential topology (57R20)

Cites Work

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• Stable reflexive sheaves. II
• Stable reflexive sheaves
• A bound on the order of jumping lines
• Spectra and monads of stable bundles
• Stable vector bundles of rank 2 on \(P^ 3\)
• Nonstable Reflexive Sheaves on P 3
• A bound for the vanishing of the first cohomology group of a rank 2 stable reflexive sheaf over p³
• Some vanishing for the cohomology of stable rank two vector bundles on P3.